a. Explain how to determine whether you should shade above or below a boundary line on the graph of an inequality. [1 mark]
b. John is working to earn money to go on a ski trip. He wants to save at least $480. John works at the local swimming pool and makes $40 per hour lifeguarding and $20 per hour teaching swimming lessons.
i. Determine an inequality that would represent this situation. [1 mark]
ii. Draw a graph of the inequality to show the number of hours spent working at each task so that John can earn at least $480 for his ski trip.[2 marks]Click here for a pdf of a blank grid to print off.
iii. Select a test point above the boundary, explain using the graph whether the test point is part of the solution. [1 mark]
iv. Select a test point below the boundary, verify algebraically whether the test point is part of the solution. [1 mark]